What are the solutions to the equation s^3+6s^2+5s+30=0 ?

The solutions to the equation s^3+6s^2+5s+30=0 are s=-6,s=sqrt(5)i,s=-sqrt(5)i

Find the zeros of s^3+6s^2+5s+30=0

The zeros of s^3+6s^2+5s+30=0 are s=-6,s=sqrt(5)i,s=-sqrt(5)i

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s^{3} + 6 s^{2} + 5 s + 30 = 0

s = - 6, s = 5 i, s = - 5 i

Solution steps

s^{3} + 6 s^{2} + 5 s + 30 = 0

Factor

s^{3} + 6 s^{2} + 5 s + 30 : (s + 6) (s^{2} + 5)

(s + 6) (s^{2} + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

s + 6 = 0 or s^{2} + 5 = 0

Solve

s + 6 = 0 : s = - 6

Solve

s^{2} + 5 = 0 : s = 5 i, s = - 5 i

The solutions are

s = - 6, s = 5 i, s = - 5 i

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(n - 2)^{3} = 512

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x^{6} - 7 x + 12 = 0

What are the solutions to the equation s^3+6s^2+5s+30=0 ?
The solutions to the equation s^3+6s^2+5s+30=0 are s=-6,s=sqrt(5)i,s=-sqrt(5)i
Find the zeros of s^3+6s^2+5s+30=0
The zeros of s^3+6s^2+5s+30=0 are s=-6,s=sqrt(5)i,s=-sqrt(5)i